# An alloy contains zinc, copper and tin in the ratio 2 : 3 : 1 and another contains copper, tin and lead in the ratio 5 : 4 : 3. If equal weights of both alloys are melted together to form a third alloy, then the weight of lead per kg in new alloy will be:

A. $$\frac{{1}}{{2}}$$ kg

B. $$\frac{{1}}{{8}}$$ kg

C. $$\frac{{3}}{{14}}$$ kg

D. $$\frac{{7}}{{9}}$$ kg

**Answer: Option B **

__Solution(By Examveda Team)__

Ratio of Zinc, Copper and Tin is given as,Z : C : T = 2 : 3 : 1.

Now, let the first alloy be 12 kg (taken as 4 kg Zinc, 6 kg Copper and 2 Kg Lead). Weight of second alloy = 12 kg as, C : T : L = 5 : 4 : 3. (taken as 5 kg Copper, 4 kg Tin and 3 Kg Lead.)

Alloys are mixed together to form third alloy. Then the ratio of content in it,

Z : C : T : L = 4 : (6 + 5) : (2 + 4) : 3

Weight of third alloy = 12 + 12 = 24 Kg.

So, weight of the Lead = $$\frac{{3}}{{24}}$$ = $$\frac{{1}}{{8}}$$ kg.

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Related Questions on Alligation

A. $$\frac{{1}}{{2}}$$ kg

B. $$\frac{{1}}{{8}}$$ kg

C. $$\frac{{3}}{{14}}$$ kg

D. $$\frac{{7}}{{9}}$$ kg

A. 81 litres

B. 71 litres

C. 56 litres

D. 50 litres

why the weight is taken as 12kg for both alloy? why cannt v take 6kg of first alloy and 12 kg of next alloy?

GIVEN IN QUEST

Z : C : T = 2 : 3 : 1 =6

C : T : L = 5 : 4 : 3=12

why cannt v take 6kg IF U WANT TO TAKE, THEN TAKE IT AS C : T : L = 5/2 : 4/2 : 3/2

BECAUSE Z:C:T AND C:T:L SHOULD BE EQUAL .

If equal weights of both alloys are melted together to form a third alloy,

রিটেনে এভাবে করলে মার্কস দিবে?

Z : C : T = 2 : 3 : 1 or 4 : 6 : 2

C : T : L = 5 : 4 : 3

Z : C : T : L = 4 : 11 : 6 : 3

Weight of L = 3/24 = 1/8 (Ans.)

From this we learn that if in alloy content is equally mix then we have to make equal them

Could you Please Explain more elaborately...

Thank u very much.. now i understood very quickly. thank u so much for ur concern....

thank u sir

Subbu, you can take any weight according to your convenient but you need focus on the ration given of alloy. As alloy ratio is given, 2 : 3 : 1. So your taken weight would be in same ratio. That's why 4, 6 and 2 kg has been taken. It gives ratio 2 : 3 : 1. You can also take 8, 12 and 4 kg of metals which gives total alloy 24 kg. It will also give the same answer.

why the weight is taken as 12kg for both alloy? why cannt v take 6kg of first alloy and 12 kg of next alloy?

Thank you so much sir